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Chebyshev Splines and Kolmogorov Inequalities (Hardcover) Loot Price: R2,634
Discovery Miles 26 340
Chebyshev Splines and Kolmogorov Inequalities (Hardcover): Sergey Bagdasarov

Chebyshev Splines and Kolmogorov Inequalities (Hardcover)

Sergey Bagdasarov

Series: Operator Theory: Advances and Applications, v. 105

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Loot Price R2,634 Discovery Miles 26 340 | Repayment Terms: R247 pm x 12*

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This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines generalizing standard polynomial perfect splines in the theory of Sobolev classes. In this context special attention is paid to the qualitative description of Chebyshev w-splines and w-polynomials associated with the Kolmogorov problem of n-widths and sharp additive inequalities between the norms of intermediate derivatives in functional classes with a bounding modulus of continuity. Since, as a rule, the techniques of the theory of Sobolev classes are inapplicable in such classes, novel geometrical methods are developed based on entirely new ideas. The book can be used profitably by pure or applied scientists looking for mathematical approaches to the solution of practical problems for which standard methods do not work. The scope of problems treated in the monograph, ranging from the maximization of integral functionals, characterization of the structure of equimeasurable functions, construction of Chebyshev splines through applications of fixed point theorems to the solution of integral equations related to the classical Euler equation, appeals to mathematicians specializing in approximation theory, functional and convex analysis, optimization, topology, and integral equations

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General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Operator Theory: Advances and Applications, v. 105
Release date: August 1998
First published: September 1998
Authors: Sergey Bagdasarov
Dimensions: 240mm (L)
Format: Hardcover
Pages: 224
ISBN-13: 978-3-7643-5984-3
Categories: Books > Science & Mathematics > Mathematics > Numerical analysis
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 3-7643-5984-6
Barcode: 9783764359843

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